Yin Zhaoyang. Compensated Compactness Applied to Perturbed Fourth and Sixth Order P.D.E.[J]. Applied Mathematics and Mechanics, 1997, 18(9): 853-858.
Citation: Yin Zhaoyang. Compensated Compactness Applied to Perturbed Fourth and Sixth Order P.D.E.[J]. Applied Mathematics and Mechanics, 1997, 18(9): 853-858.

Compensated Compactness Applied to Perturbed Fourth and Sixth Order P.D.E.

  • Received Date: 1995-04-07
  • Rev Recd Date: 1996-11-07
  • Publish Date: 1997-09-15
  • In the paper, by using the methods of compensated compactness and energyestimate, the convergence of class of fourth and sixth orders singular perturbed. partialdifferential equations is obtained, and furthermore, the regularity of solutions is improved.
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    B.Cassis.Compensated compactness applied to a singular perturbed fourth order P.D.E,.Comm.Partial Differential Equations.14.5(1989).619~634.
    [2]
    M.E.Schonbek.Convergence of solutions to nonlinear dispersive equations.Comm.Paltial Differential Equations.7.8(1982).959~1000.
    [3]
    L.TarTar.Compensated compactness method applied to system of conservation law,Systems of Nonlinear Partial Differemial Equations(J.M.Balled),NATO ASIS Series.C.Reidel(1983).
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